Answer
$1\frac{1}{3}$
Work Step by Step
$\frac{4}{4}\div\frac{3}{4}$ $\longrightarrow$ multiply by inverse
=$\frac{4}{4}\times\frac{4}{3}$ $\longrightarrow$ multiply numerators and denominators
=$\frac{/\!\!4\times4}{/\!\!4\times3}$ $\longrightarrow$ cancel common factors
=$\frac{4}{3}$ $\longrightarrow$ reduce
=$1\frac{1}{3}$